Search a number
-
+
3450245560 = 2353747193257
BaseRepresentation
bin1100110110100110…
…1001000110111000
322220110020122010121
43031221221012320
524031230324220
61330210423024
7151333413646
oct31551510670
98813218117
103450245560
111510634613
12803591a74
1342ca68c28
1424a32a196
15152d7eeaa
hexcda691b8

3450245560 has 128 divisors (see below), whose sum is σ = 8216536320. Its totient is φ = 1302331392.

The previous prime is 3450245543. The next prime is 3450245563. The reversal of 3450245560 is 655420543.

3450245560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3450245563) 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, 13424952 + ... + 13425208.

It is an arithmetic number, because the mean of its divisors is an integer number (64191690).

Almost surely, 23450245560 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 3450245560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108268160).

3450245560 is an abundant number, since it is smaller than the sum of its proper divisors (4766290760).

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

3450245560 is a wasteful number, since it uses less digits than its factorization.

3450245560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The square root of 3450245560 is about 58738.7909306959. The cubic root of 3450245560 is about 1511.0656571215.

The spelling of 3450245560 in words is "three billion, four hundred fifty million, two hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 47 74 94 148 185 188 193 235 257 296 370 376 386 470 514 740 772 940 965 1028 1285 1480 1544 1739 1880 1930 2056 2570 3478 3860 5140 6956 7141 7720 8695 9071 9509 10280 12079 13912 14282 17390 18142 19018 24158 28564 34780 35705 36284 38036 45355 47545 48316 49601 57128 60395 69560 71410 72568 76072 90710 95090 96632 99202 120790 142820 181420 190180 198404 241580 248005 285640 335627 362840 380360 396808 446923 483160 496010 671254 893846 992020 1342508 1678135 1787692 1835237 1984040 2234615 2331247 2685016 3356270 3575384 3670474 4469230 4662494 6712540 7340948 8938460 9176185 9324988 11656235 13425080 14681896 17876920 18352370 18649976 23312470 36704740 46624940 73409480 86256139 93249880 172512278 345024556 431280695 690049112 862561390 1725122780 3450245560