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34245451464 = 2337434740511
BaseRepresentation
bin11111111001001100…
…000001111011001000
310021101121212011221020
4133321030001323020
51030113313421324
623422050512440
72321430351240
oct377114017310
9107347764836
1034245451464
1113583734604
126778895720
1332c9ac5a63
14192c212b20
15d566d5679
hex7f9301ec8

34245451464 has 64 divisors (see below), whose sum is σ = 100119613440. Its totient is φ = 9556868160.

The previous prime is 34245451441. The next prime is 34245451517. The reversal of 34245451464 is 46415454243.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2363032 + ... + 2377479.

It is an arithmetic number, because the mean of its divisors is an integer number (1564368960).

Almost surely, 234245451464 is an apocalyptic number.

It is an amenable number.

34245451464 is an abundant number, since it is smaller than the sum of its proper divisors (65874161976).

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

34245451464 is a wasteful number, since it uses less digits than its factorization.

34245451464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740570 (or 4740566 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The spelling of 34245451464 in words is "thirty-four billion, two hundred forty-five million, four hundred fifty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 4740511 9481022 14221533 18962044 28443066 33183577 37924088 56886132 66367154 99550731 113772264 132734308 199101462 203841973 265468616 398202924 407683946 611525919 796405848 815367892 1223051838 1426893811 1630735784 2446103676 2853787622 4280681433 4892207352 5707575244 8561362866 11415150488 17122725732 34245451464