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354553140 = 22359975927
BaseRepresentation
bin10101001000100…
…000110100110100
3220201011011110210
4111020200310310
51211231200030
655103145420
711533436424
oct2510406464
9821134423
10354553140
11172155027
129a8a5270
13585bb776
1435134484
15211d7bb0
hex15220d34

354553140 has 48 divisors (see below), whose sum is σ = 993912192. Its totient is φ = 94436736.

The previous prime is 354553097. The next prime is 354553141. The reversal of 354553140 is 41355453.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 354553098 and 354553107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354553141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56857 + ... + 62783.

It is an arithmetic number, because the mean of its divisors is an integer number (20706504).

Almost surely, 2354553140 is an apocalyptic number.

354553140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354553140 is an abundant number, since it is smaller than the sum of its proper divisors (639359052).

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

354553140 is a wasteful number, since it uses less digits than its factorization.

354553140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6936 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 354553140 is about 18829.5815142026. The cubic root of 354553140 is about 707.7726535517.

The spelling of 354553140 in words is "three hundred fifty-four million, five hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 997 1994 2991 3988 4985 5927 5982 9970 11854 11964 14955 17781 19940 23708 29635 29910 35562 59270 59820 71124 88905 118540 177810 355620 5909219 11818438 17727657 23636876 29546095 35455314 59092190 70910628 88638285 118184380 177276570 354553140