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3401007372 = 2233719236773
BaseRepresentation
bin1100101010110111…
…0100000100001100
322210000121002001000
43022231310010030
523431124213442
61321251220300
7150165041250
oct31255640414
98700532030
103401007372
1114958641a4
127aaba7690
134227b94c9
14243990260
1514d8a5d4c
hexcab7410c

3401007372 has 96 divisors (see below), whose sum is σ = 10607475200. Its totient is φ = 920569536.

The previous prime is 3401007341. The next prime is 3401007377. The reversal of 3401007372 is 2737001043.

It is a super-2 number, since 2×34010073722 = 23133702288796692768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3401007377) 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, 104023 + ... + 132750.

Almost surely, 23401007372 is an apocalyptic number.

It is an amenable number.

3401007372 is an abundant number, since it is smaller than the sum of its proper divisors (7206467828).

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

3401007372 is a wasteful number, since it uses less digits than its factorization.

3401007372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236812 (or 236804 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 3401007372 is about 58318.1564523434. The cubic root of 3401007372 is about 1503.8430893672.

The spelling of 3401007372 in words is "three billion, four hundred one million, seven thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 378 399 513 532 684 756 798 1026 1197 1596 2052 2394 3591 4788 7182 14364 236773 473546 710319 947092 1420638 1657411 2130957 2841276 3314822 4261914 4498687 4972233 6392871 6629644 8523828 8997374 9944466 12785742 13496061 14916699 17994748 19888932 25571484 26992122 29833398 31490809 40488183 44750097 53984244 59666796 62981618 80976366 89500194 94472427 121464549 125963236 161952732 179000388 188944854 242929098 283417281 377889708 485858196 566834562 850251843 1133669124 1700503686 3401007372