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381145356 = 2232197223241
BaseRepresentation
bin10110101101111…
…101000100001100
3222120012012010200
4112231331010030
51240033122411
6101453133500
712305452644
oct2655750414
9876165120
10381145356
11186168169
12a778a290
1360c6c5c7
1438897524
15236dbe56
hex16b7d10c

381145356 has 72 divisors (see below), whose sum is σ = 976719744. Its totient is φ = 125314560.

The previous prime is 381145333. The next prime is 381145381. The reversal of 381145356 is 653541183.

381145356 is a `hidden beast` number, since 3 + 8 + 114 + 535 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 381145356.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1581396 + ... + 1581636.

It is an arithmetic number, because the mean of its divisors is an integer number (13565552).

Almost surely, 2381145356 is an apocalyptic number.

381145356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381145356 is an abundant number, since it is smaller than the sum of its proper divisors (595574388).

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

381145356 is a wasteful number, since it uses less digits than its factorization.

381145356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 666 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 381145356 is about 19522.9443476131. The cubic root of 381145356 is about 725.0426330855.

It can be divided in two parts, 381145 and 356, that added together give a triangular number (381501 = T873).

The spelling of 381145356 in words is "three hundred eighty-one million, one hundred forty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 197 223 241 394 446 482 591 669 723 788 892 964 1182 1338 1446 1773 2007 2169 2364 2676 2892 3546 4014 4338 7092 8028 8676 43931 47477 53743 87862 94954 107486 131793 142431 161229 175724 189908 214972 263586 284862 322458 395379 427293 483687 527172 569724 644916 790758 854586 967374 1581516 1709172 1934748 10587371 21174742 31762113 42349484 63524226 95286339 127048452 190572678 381145356