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3472740072 = 2332713172143
BaseRepresentation
bin1100111011111101…
…1100111011101000
322222000120110210200
43032333130323220
524103010140242
61332332512200
7152025542424
oct31677347350
98860513720
103472740072
1115222a901a
1280b01b660
134346138a9
1424d303b84
15154d2504c
hexcefdcee8

3472740072 has 96 divisors (see below), whose sum is σ = 9572359680. Its totient is φ = 1137144960.

The previous prime is 3472740049. The next prime is 3472740091. The reversal of 3472740072 is 2700472743.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1619433 + ... + 1621575.

It is an arithmetic number, because the mean of its divisors is an integer number (99712080).

Almost surely, 23472740072 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 3472740072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786179840).

3472740072 is an abundant number, since it is smaller than the sum of its proper divisors (6099619608).

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

3472740072 is a wasteful number, since it uses less digits than its factorization.

3472740072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 3472740072 is about 58929.9590361303. The cubic root of 3472740072 is about 1514.3424365910.

The spelling of 3472740072 in words is "three billion, four hundred seventy-two million, seven hundred forty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 317 426 568 634 639 852 951 1268 1278 1704 1902 2143 2536 2556 2853 3804 4286 5112 5706 6429 7608 8572 11412 12858 17144 19287 22507 22824 25716 38574 45014 51432 67521 77148 90028 135042 152153 154296 180056 202563 270084 304306 405126 456459 540168 608612 679331 810252 912918 1217224 1358662 1369377 1620504 1825836 2037993 2717324 2738754 3651672 4075986 5434648 5477508 6113979 8151972 10955016 12227958 16303944 24455916 48232501 48911832 96465002 144697503 192930004 289395006 385860008 434092509 578790012 868185018 1157580024 1736370036 3472740072