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3078532040 = 235172793371
BaseRepresentation
bin1011011101111110…
…1010101111001000
321221112210122001012
42313133222233020
522301101011130
61225251343052
7136201043033
oct26737525710
97845718035
103078532040
11133a829761
1271abb1a88
133a0a4c6bc
14212c0a01a
15130407995
hexb77eabc8

3078532040 has 96 divisors (see below), whose sum is σ = 7453468800. Its totient is φ = 1143966720.

The previous prime is 3078532003. The next prime is 3078532043. The reversal of 3078532040 is 402358703.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3078531988 and 3078532006.

It is not an unprimeable number, because it can be changed into a prime (3078532043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 911555 + ... + 914925.

It is an arithmetic number, because the mean of its divisors is an integer number (77640300).

Almost surely, 23078532040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3078532040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726734400).

3078532040 is an abundant number, since it is smaller than the sum of its proper divisors (4374936760).

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

3078532040 is a wasteful number, since it uses less digits than its factorization.

3078532040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 3078532040 is about 55484.5207242525. The cubic root of 3078532040 is about 1454.7260837755.

The spelling of 3078532040 in words is "three billion, seventy-eight million, five hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 79 85 136 158 170 289 316 340 395 578 632 680 790 1156 1343 1445 1580 2312 2686 2890 3160 3371 5372 5780 6715 6742 10744 11560 13430 13484 16855 22831 26860 26968 33710 45662 53720 57307 67420 91324 114155 114614 134840 182648 228310 229228 266309 286535 456620 458456 532618 573070 913240 974219 1065236 1146140 1331545 1948438 2130472 2292280 2663090 3896876 4527253 4871095 5326180 7793752 9054506 9742190 10652360 18109012 19484380 22636265 36218024 38968760 45272530 76963301 90545060 153926602 181090120 307853204 384816505 615706408 769633010 1539266020 3078532040