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345204464 = 241119103231
BaseRepresentation
bin10100100100110…
…110011011110000
3220001120012111112
4110210312123300
51201333020324
654130532452
711361122003
oct2444663360
9801505445
10345204464
1116794a250
1297737128
13566974c7
1433bbd53a
152048cc0e
hex149366f0

345204464 has 40 divisors (see below), whose sum is σ = 768046080. Its totient is φ = 148651200.

The previous prime is 345204451. The next prime is 345204469. The reversal of 345204464 is 464402543.

It is a super-2 number, since 2×3452044642 = 238332243931054592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345204464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345204469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48272 + ... + 54959.

It is an arithmetic number, because the mean of its divisors is an integer number (19201152).

Almost surely, 2345204464 is an apocalyptic number.

It is an amenable number.

345204464 is an abundant number, since it is smaller than the sum of its proper divisors (422841616).

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

345204464 is a wasteful number, since it uses less digits than its factorization.

345204464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103269 (or 103263 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 345204464 is about 18579.6787916261. The cubic root of 345204464 is about 701.4964340732.

The spelling of 345204464 in words is "three hundred forty-five million, two hundred four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 103231 206462 412924 825848 1135541 1651696 1961389 2271082 3922778 4542164 7845556 9084328 15691112 18168656 21575279 31382224 43150558 86301116 172602232 345204464