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34700123040 = 2535116571993
BaseRepresentation
bin100000010100010010…
…011101101110100000
310022120022101220002020
4200110102131232200
51032031212414130
623535132021440
72335621115322
oct402422355640
9108508356066
1034700123040
1113797351040
126885001880
133370069bab
141972769612
15d81597e10
hex81449dba0

34700123040 has 96 divisors (see below), whose sum is σ = 119242259136. Its totient is φ = 8412149760.

The previous prime is 34700123027. The next prime is 34700123057. The reversal of 34700123040 is 4032100743.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×347001230402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34700123040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3280717 + ... + 3291276.

It is an arithmetic number, because the mean of its divisors is an integer number (1242106866).

Almost surely, 234700123040 is an apocalyptic number.

34700123040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34700123040 is an abundant number, since it is smaller than the sum of its proper divisors (84542136096).

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

34700123040 is a wasteful number, since it uses less digits than its factorization.

34700123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6572022 (or 6572014 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

Adding to 34700123040 its reverse (4032100743), we get a palindrome (38732223783).

The spelling of 34700123040 in words is "thirty-four billion, seven hundred million, one hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 6571993 13143986 19715979 26287972 32859965 39431958 52575944 65719930 72291923 78863916 98579895 105151888 131439860 144583846 157727832 197159790 210303776 216875769 262879720 289167692 315455664 361459615 394319580 433751538 525759440 578335384 630911328 722919230 788639160 867503076 1051518880 1084378845 1156670768 1445838460 1577278320 1735006152 2168757690 2313341536 2891676920 3154556640 3470012304 4337515380 5783353840 6940024608 8675030760 11566707680 17350061520 34700123040