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342525400 = 23527892749
BaseRepresentation
bin10100011010101…
…000010111011000
3212212112002111221
4110122220113120
51200141303100
653553301424
711326263220
oct2432502730
9785462457
10342525400
1116638a448
1296864874
1355c69c69
14336c3080
152010e01a
hex146a85d8

342525400 has 96 divisors (see below), whose sum is σ = 920700000. Its totient is φ = 116075520.

The previous prime is 342525349. The next prime is 342525427. The reversal of 342525400 is 4525243.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123226 + ... + 125974.

It is an arithmetic number, because the mean of its divisors is an integer number (9590625).

Almost surely, 2342525400 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 342525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460350000).

342525400 is an abundant number, since it is smaller than the sum of its proper divisors (578174600).

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

342525400 is a wasteful number, since it uses less digits than its factorization.

342525400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 342525400 is about 18507.4417464975. The cubic root of 342525400 is about 699.6769938329.

The spelling of 342525400 in words is "three hundred forty-two million, five hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 89 100 140 175 178 200 280 350 356 445 623 700 712 890 1246 1400 1780 2225 2492 2749 3115 3560 4450 4984 5498 6230 8900 10996 12460 13745 15575 17800 19243 21992 24920 27490 31150 38486 54980 62300 68725 76972 96215 109960 124600 137450 153944 192430 244661 274900 384860 481075 489322 549800 769720 962150 978644 1223305 1712627 1924300 1957288 2446610 3425254 3848600 4893220 6116525 6850508 8563135 9786440 12233050 13701016 17126270 24466100 34252540 42815675 48932200 68505080 85631350 171262700 342525400