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354155040 = 25325245941
BaseRepresentation
bin10101000110111…
…111101000100000
3220200101221101100
4111012333220200
51211130430130
655050434400
711530160661
oct2506775040
9820357340
10354155040
11171a02a18
129a732a00
13584ac4c5
143506d368
1521159c60
hex151bfa20

354155040 has 72 divisors (see below), whose sum is σ = 1208558988. Its totient is φ = 94440960.

The previous prime is 354155023. The next prime is 354155057. The reversal of 354155040 is 40551453.

354155040 is a `hidden beast` number, since 35 + 41 + 550 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (354155023) and next prime (354155057).

It can be written as a sum of positive squares in 2 ways, for example, as 327899664 + 26255376 = 18108^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 354154995 and 354155013.

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, 121531 + ... + 124410.

Almost surely, 2354155040 is an apocalyptic number.

354155040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354155040 is an abundant number, since it is smaller than the sum of its proper divisors (854403948).

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

354155040 is a wasteful number, since it uses less digits than its factorization.

354155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245962 (or 245951 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 354155040 is about 18819.0074127197. The cubic root of 354155040 is about 707.5076534859.

The spelling of 354155040 in words is "three hundred fifty-four million, one hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 245941 491882 737823 983764 1229705 1475646 1967528 2213469 2459410 2951292 3689115 3935056 4426938 4918820 5902584 7378230 7870112 8853876 9837640 11067345 11805168 14756460 17707752 19675280 22134690 23610336 29512920 35415504 39350560 44269380 59025840 70831008 88538760 118051680 177077520 354155040