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629673408 = 263271341293
BaseRepresentation
bin100101100010000…
…000110111000000
31121212211201112100
4211202000313000
52242144022113
6142252030400
721414064350
oct4542006700
91555751470
10629673408
112a3485a51
12156a62400
13a05b8020
145d8acb60
153a42ed73
hex25880dc0

629673408 has 336 divisors, whose sum is σ = 2283293376. Its totient is φ = 161464320.

The previous prime is 629673397. The next prime is 629673427. The reversal of 629673408 is 804376926.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2148910 + ... + 2149202.

It is an arithmetic number, because the mean of its divisors is an integer number (6795516).

Almost surely, 2629673408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141646688).

629673408 is an abundant number, since it is smaller than the sum of its proper divisors (1653619968).

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

629673408 is a wasteful number, since it uses less digits than its factorization.

629673408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 629673408 is about 25093.2940842768. The cubic root of 629673408 is about 857.1137277720.

The spelling of 629673408 in words is "six hundred twenty-nine million, six hundred seventy-three thousand, four hundred eight".