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378071505 = 32572315531
BaseRepresentation
bin10110100010001…
…110100111010001
3222100102000121100
4112202032213101
51233241242010
6101303215013
712240361200
oct2642164721
9870360540
10378071505
11184458799
12a6747469
1360434466
14382d7237
15232d12c0
hex1688e9d1

378071505 has 72 divisors (see below), whose sum is σ = 787048704. Its totient is φ = 167227200.

The previous prime is 378071503. The next prime is 378071563. The reversal of 378071505 is 505170873.

378071505 is a `hidden beast` number, since 3 + 7 + 80 + 71 + 505 = 666.

It is not a de Polignac number, because 378071505 - 21 = 378071503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 378071505.

It is not an unprimeable number, because it can be changed into a prime (378071501) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65590 + ... + 71120.

It is an arithmetic number, because the mean of its divisors is an integer number (10931232).

Almost surely, 2378071505 is an apocalyptic number.

378071505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

378071505 is an abundant number, since it is smaller than the sum of its proper divisors (408977199).

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

378071505 is a wasteful number, since it uses less digits than its factorization.

378071505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 378071505 is about 19444.0609184399. The cubic root of 378071505 is about 723.0882682359.

The spelling of 378071505 in words is "three hundred seventy-eight million, seventy-one thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 31 35 45 49 63 93 105 147 155 217 245 279 315 441 465 651 735 1085 1395 1519 1953 2205 3255 4557 5531 7595 9765 13671 16593 22785 27655 38717 49779 68355 82965 116151 171461 193585 248895 271019 348453 514383 580755 813057 857305 1200227 1355095 1543149 1742265 2439171 2571915 3600681 4065285 6001135 7715745 8401589 10802043 12195855 18003405 25204767 42007945 54010215 75614301 126023835 378071505