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429395004 = 2232235031031
BaseRepresentation
bin11001100110000…
…000110000111100
31002220222112012200
4121212000300330
51334411120004
6110335231500
713432540323
oct3146006074
91086875180
10429395004
11200422905
12bb978590
136ac640ac
14410570ba
1527a6d239
hex19980c3c

429395004 has 72 divisors (see below), whose sum is σ = 1135959552. Its totient is φ = 136503840.

The previous prime is 429394991. The next prime is 429395023. The reversal of 429395004 is 400593924.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 429395004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415969 + ... + 416999.

It is an arithmetic number, because the mean of its divisors is an integer number (15777216).

Almost surely, 2429395004 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 429395004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567979776).

429395004 is an abundant number, since it is smaller than the sum of its proper divisors (706564548).

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

429395004 is a wasteful number, since it uses less digits than its factorization.

429395004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 429395004 is about 20721.8484696708. The cubic root of 429395004 is about 754.4300796704.

The spelling of 429395004 in words is "four hundred twenty-nine million, three hundred ninety-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 503 828 1006 1031 1509 2012 2062 3018 3093 4124 4527 6036 6186 9054 9279 11569 12372 18108 18558 23138 23713 34707 37116 46276 47426 69414 71139 94852 104121 138828 142278 208242 213417 284556 416484 426834 518593 853668 1037186 1555779 2074372 3111558 4667337 6223116 9334674 11927639 18669348 23855278 35782917 47710556 71565834 107348751 143131668 214697502 429395004