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354172381240 = 235371012369363
BaseRepresentation
bin1010010011101100101…
…00011010100000111000
31020212011212211010102111
411021312110122200320
521300321112144430
6430412103142104
734405502366026
oct5116624324070
91225155733374
10354172381240
11127227092107
1258783744934
1327524127172
14131dba59716
15932d4c9c2a
hex527651a838

354172381240 has 64 divisors (see below), whose sum is σ = 826528937760. Its totient is φ = 136475251200.

The previous prime is 354172381237. The next prime is 354172381247. The reversal of 354172381240 is 42183271453.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 354172381193 and 354172381202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354172381247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035202 + ... + 1334161.

Almost surely, 2354172381240 is an apocalyptic number.

It is an amenable number.

354172381240 is an abundant number, since it is smaller than the sum of its proper divisors (472356556520).

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

354172381240 is a wasteful number, since it uses less digits than its factorization.

354172381240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369512 (or 2369508 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 354172381240 in words is "three hundred fifty-four billion, one hundred seventy-two million, three hundred eighty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 101 148 185 202 296 370 404 505 740 808 1010 1480 2020 3737 4040 7474 14948 18685 29896 37370 74740 149480 2369363 4738726 9477452 11846815 18954904 23693630 47387260 87666431 94774520 175332862 239305663 350665724 438332155 478611326 701331448 876664310 957222652 1196528315 1753328620 1914445304 2393056630 3506657240 4786113260 8854309531 9572226520 17708619062 35417238124 44271547655 70834476248 88543095310 177086190620 354172381240