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3045984240 = 2435131951383
BaseRepresentation
bin1011010110001110…
…0000011111110000
321212021120000212010
42311203200133300
522214232443430
61222130002520
7135324303345
oct26543403760
97767500763
103045984240
111323419052
12710116440
13397094b50
1420c7767cc
1512c628cb0
hexb58e07f0

3045984240 has 160 divisors (see below), whose sum is σ = 10704314880. Its totient is φ = 710304768.

The previous prime is 3045984233. The next prime is 3045984247. The reversal of 3045984240 is 424895403.

3045984240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3045984233) and next prime (3045984247).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3045984247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33589 + ... + 84971.

It is an arithmetic number, because the mean of its divisors is an integer number (66901968).

Almost surely, 23045984240 is an apocalyptic number.

3045984240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3045984240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352157440).

3045984240 is an abundant number, since it is smaller than the sum of its proper divisors (7658330640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3045984240 is a wasteful number, since it uses less digits than its factorization.

3045984240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51431 (or 51425 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 3045984240 is about 55190.4361280104. The cubic root of 3045984240 is about 1449.5812092185.

The spelling of 3045984240 in words is "three billion, forty-five million, nine hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3705 3952 4560 4940 5928 7410 9880 11856 14820 19760 29640 51383 59280 102766 154149 205532 256915 308298 411064 513830 616596 667979 770745 822128 976277 1027660 1233192 1335958 1541490 1952554 2003937 2055320 2466384 2671916 2928831 3082980 3339895 3905108 4007874 4110640 4881385 5343832 5857662 6165960 6679790 7810216 8015748 9762770 10019685 10687664 11715324 12331920 12691601 13359580 14644155 15620432 16031496 19525540 20039370 23430648 25383202 26719160 29288310 32062992 38074803 39051080 40078740 46861296 50766404 53438320 58576620 63458005 76149606 78102160 80157480 101532808 117153240 126916010 152299212 160314960 190374015 203065616 234306480 253832020 304598424 380748030 507664040 609196848 761496060 1015328080 1522992120 3045984240