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354197040 = 24351786813
BaseRepresentation
bin10101000111001…
…001111000110000
3220200111001222220
4111013021320300
51211133301130
655051401040
711530424301
oct2507117060
9820431886
10354197040
11171a3152a
129a753180
13584c5662
14350807a8
1521167410
hex151c9e30

354197040 has 80 divisors (see below), whose sum is σ = 1162613088. Its totient is φ = 88895488.

The previous prime is 354197021. The next prime is 354197059. The reversal of 354197040 is 40791453.

It is an interprime number because it is at equal distance from previous prime (354197021) and next prime (354197059).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3541970403 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 354196992 and 354197010.

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 15 ways as a sum of consecutive naturals, for example, 39327 + ... + 47486.

Almost surely, 2354197040 is an apocalyptic number.

354197040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354197040 is an abundant number, since it is smaller than the sum of its proper divisors (808416048).

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

354197040 is a wasteful number, since it uses less digits than its factorization.

354197040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86846 (or 86840 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 354197040 is about 18820.1232727100. The cubic root of 354197040 is about 707.5356206599.

The spelling of 354197040 in words is "three hundred fifty-four million, one hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 86813 173626 260439 347252 434065 520878 694504 868130 1041756 1302195 1389008 1475821 1736260 2083512 2604390 2951642 3472520 4167024 4427463 5208780 5903284 6945040 7379105 8854926 10417560 11806568 14758210 17709852 20835120 22137315 23613136 29516420 35419704 44274630 59032840 70839408 88549260 118065680 177098520 354197040