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361402344 = 233319107823
BaseRepresentation
bin10101100010101…
…000111111101000
3221012001010211000
4111202220333220
51220004333334
655510035000
711645604102
oct2542507750
9835033730
10361402344
11176002a26
12a1048a60
1359b49154
1435dd8572
1521adc299
hex158a8fe8

361402344 has 128 divisors (see below), whose sum is σ = 1067904000. Its totient is φ = 112923072.

The previous prime is 361402319. The next prime is 361402357. The reversal of 361402344 is 443204163.

361402344 is a `hidden beast` number, since 3 + 614 + 0 + 2 + 3 + 44 = 666.

It is a super-2 number, since 2×3614023442 = 261223308497388672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438717 + ... + 439539.

It is an arithmetic number, because the mean of its divisors is an integer number (8343000).

Almost surely, 2361402344 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 361402344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533952000).

361402344 is an abundant number, since it is smaller than the sum of its proper divisors (706501656).

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

361402344 is a wasteful number, since it uses less digits than its factorization.

361402344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 361402344 is about 19010.5850514917. The cubic root of 361402344 is about 712.3011655699.

The spelling of 361402344 in words is "three hundred sixty-one million, four hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 107 108 114 152 171 214 216 228 321 342 428 456 513 642 684 823 856 963 1026 1284 1368 1646 1926 2033 2052 2469 2568 2889 3292 3852 4066 4104 4938 5778 6099 6584 7407 7704 8132 9876 11556 12198 14814 15637 16264 18297 19752 22221 23112 24396 29628 31274 36594 44442 46911 48792 54891 59256 62548 73188 88061 88884 93822 109782 125096 140733 146376 176122 177768 187644 219564 264183 281466 352244 375288 422199 439128 528366 562932 704488 792549 844398 1056732 1125864 1585098 1673159 1688796 2113464 2377647 3170196 3346318 3377592 4755294 5019477 6340392 6692636 9510588 10038954 13385272 15058431 19021176 20077908 30116862 40155816 45175293 60233724 90350586 120467448 180701172 361402344