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354000402 = 23372353379
BaseRepresentation
bin10101000110011…
…001111000010010
3220200010002021000
4111012121320102
51211111003102
655043242430
711525645100
oct2506317022
9820102230
10354000402
11171907818
129a679416
1358456cc2
143502cc70
152112901c
hex15199e12

354000402 has 96 divisors (see below), whose sum is σ = 920116800. Its totient is φ = 100590336.

The previous prime is 354000373. The next prime is 354000443. The reversal of 354000402 is 204000453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 933849 + ... + 934227.

It is an arithmetic number, because the mean of its divisors is an integer number (9584550).

Almost surely, 2354000402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354000402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460058400).

354000402 is an abundant number, since it is smaller than the sum of its proper divisors (566116398).

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

354000402 is a wasteful number, since it uses less digits than its factorization.

354000402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 354000402 is about 18814.8984052532. The cubic root of 354000402 is about 707.4046632849.

Adding to 354000402 its reverse (204000453), we get a palindrome (558000855).

The spelling of 354000402 in words is "three hundred fifty-four million, four hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 353 378 379 441 706 758 882 1059 1137 1323 2118 2274 2471 2646 2653 3177 3411 4942 5306 6354 6822 7413 7959 9531 10233 14826 15918 17297 18571 19062 20466 22239 23877 34594 37142 44478 47754 51891 55713 66717 71631 103782 111426 133434 133787 143262 155673 167139 267574 311346 334278 401361 467019 501417 802722 934038 936509 1002834 1204083 1873018 2408166 2809527 3612249 5619054 6555563 7224498 8428581 13111126 16857162 19666689 25285743 39333378 50571486 59000067 118000134 177000201 354000402