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428346900 = 223352158647
BaseRepresentation
bin11001100010000…
…000111000010100
31002212000021111000
4121202000320110
51334124100100
6110300543300
713420613532
oct3142007024
91085007430
10428346900
111aa877403
12bb551b30
136a988007
1440c63152
1527912900
hex19880e14

428346900 has 72 divisors (see below), whose sum is σ = 1377064640. Its totient is φ = 114225120.

The previous prime is 428346899. The next prime is 428346911. The reversal of 428346900 is 9643824.

It is a happy number.

It is a super-2 number, since 2×4283469002 = 366962133479220000, which contains 22 as substring.

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

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, 76624 + ... + 82023.

Almost surely, 2428346900 is an apocalyptic number.

It is an amenable number.

428346900 is an abundant number, since it is smaller than the sum of its proper divisors (948717740).

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

428346900 is a wasteful number, since it uses less digits than its factorization.

428346900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158670 (or 158657 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 428346900 is about 20696.5431896247. The cubic root of 428346900 is about 753.8157537747.

The spelling of 428346900 in words is "four hundred twenty-eight million, three hundred forty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 158647 317294 475941 634588 793235 951882 1427823 1586470 1903764 2379705 2855646 3172940 3966175 4283469 4759410 5711292 7139115 7932350 8566938 9518820 11898525 14278230 15864700 17133876 21417345 23797050 28556460 35695575 42834690 47594100 71391150 85669380 107086725 142782300 214173450 428346900