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354034440 = 23325983429
BaseRepresentation
bin10101000110100…
…010001100001000
3220200011210221200
4111012202030020
51211113100230
655044104200
711526146244
oct2506421410
9820153850
10354034440
11171930351
129a695060
1358469646
143503b424
1521134160
hex151a2308

354034440 has 48 divisors (see below), whose sum is σ = 1150613100. Its totient is φ = 94409088.

The previous prime is 354034433. The next prime is 354034453. The reversal of 354034440 is 44430453.

It can be written as a sum of positive squares in 2 ways, for example, as 346183236 + 7851204 = 18606^2 + 2802^2 .

It is a super-2 number, since 2×3540344402 = 250680769412227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 491355 + ... + 492074.

Almost surely, 2354034440 is an apocalyptic number.

354034440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354034440 is an abundant number, since it is smaller than the sum of its proper divisors (796578660).

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

354034440 is a wasteful number, since it uses less digits than its factorization.

354034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983446 (or 983439 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 354034440 is about 18815.8029326415. The cubic root of 354034440 is about 707.4273354515.

Adding to 354034440 its reverse (44430453), we get a palindrome (398464893).

The spelling of 354034440 in words is "three hundred fifty-four million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 983429 1966858 2950287 3933716 4917145 5900574 7867432 8850861 9834290 11801148 14751435 17701722 19668580 23602296 29502870 35403444 39337160 44254305 59005740 70806888 88508610 118011480 177017220 354034440