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381280692 = 22313171091319
BaseRepresentation
bin10110101110011…
…110000110110100
3222120110001210010
4112232132012310
51240101440232
6101500100220
712306555342
oct2656360664
9876401703
10381280692
1118624a911
12a7834670
1360cb90a0
14388d0992
15237170cc
hex16b9e1b4

381280692 has 96 divisors (see below), whose sum is σ = 1024531200. Its totient is φ = 109320192.

The previous prime is 381280681. The next prime is 381280693. The reversal of 381280692 is 296082183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 381280692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381280693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288409 + ... + 289727.

It is an arithmetic number, because the mean of its divisors is an integer number (10672200).

Almost surely, 2381280692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381280692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512265600).

381280692 is an abundant number, since it is smaller than the sum of its proper divisors (643250508).

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

381280692 is a wasteful number, since it uses less digits than its factorization.

381280692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 381280692 is about 19526.4101155333. The cubic root of 381280692 is about 725.1284382835.

The spelling of 381280692 in words is "three hundred eighty-one million, two hundred eighty thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 109 156 204 218 221 327 436 442 654 663 884 1308 1319 1326 1417 1853 2638 2652 2834 3706 3957 4251 5276 5559 5668 7412 7914 8502 11118 15828 17004 17147 22236 22423 24089 34294 44846 48178 51441 67269 68588 72267 89692 96356 102882 134538 143771 144534 205764 269076 287542 289068 291499 431313 575084 582998 862626 874497 1165996 1725252 1748994 1869023 2444107 3497988 3738046 4888214 5607069 7332321 7476092 9776428 11214138 14664642 22428276 29329284 31773391 63546782 95320173 127093564 190640346 381280692