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34054045320 = 23351217233183
BaseRepresentation
bin11111101101110001…
…110111111010001000
310020220021200202001210
4133231301313322020
51024220313422240
623351052213120
72313614415651
oct375561677210
9106807622053
1034054045320
1113495691309
12672476a1a0
13329925a299
141910a2a528
15d449c7780
hex7edc77e88

34054045320 has 64 divisors (see below), whose sum is σ = 102246520320. Its totient is φ = 9073577984.

The previous prime is 34054045307. The next prime is 34054045327. The reversal of 34054045320 is 2354045043.

It is a super-2 number, since 2×340540453202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (34054045327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29449 + ... + 262631.

It is an arithmetic number, because the mean of its divisors is an integer number (1597601880).

Almost surely, 234054045320 is an apocalyptic number.

34054045320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34054045320 is an abundant number, since it is smaller than the sum of its proper divisors (68192475000).

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

34054045320 is a wasteful number, since it uses less digits than its factorization.

34054045320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234414 (or 234410 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 34054045320 in words is "thirty-four billion, fifty-four million, forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1217 2434 3651 4868 6085 7302 9736 12170 14604 18255 24340 29208 36510 48680 73020 146040 233183 466366 699549 932732 1165915 1399098 1865464 2331830 2798196 3497745 4663660 5596392 6995490 9327320 13990980 27981960 283783711 567567422 851351133 1135134844 1418918555 1702702266 2270269688 2837837110 3405404532 4256755665 5675674220 6810809064 8513511330 11351348440 17027022660 34054045320