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374394132 = 223271579463
BaseRepresentation
bin10110010100001…
…100110100010100
3222002111012012100
4112110030310110
51231321103012
6101052322100
712164204040
oct2624146424
9862435170
10374394132
11182376942
12a5473330
135c7476b8
1437a1b020
1522d068dc
hex1650cd14

374394132 has 72 divisors (see below), whose sum is σ = 1088587136. Its totient is φ = 106277184.

The previous prime is 374394121. The next prime is 374394143. The reversal of 374394132 is 231493473.

374394132 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (374394121) and next prime (374394143).

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

It is a nude number because it is divisible by every one of its digits.

374394132 is strictly pandigital in base 9.

It is a congruent number.

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, 34833 + ... + 44295.

Almost surely, 2374394132 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 374394132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544293568).

374394132 is an abundant number, since it is smaller than the sum of its proper divisors (714193004).

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

374394132 is a wasteful number, since it uses less digits than its factorization.

374394132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9637 (or 9632 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 374394132 is about 19349.2669628593. The cubic root of 374394132 is about 720.7362145418.

The spelling of 374394132 in words is "three hundred seventy-four million, three hundred ninety-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 157 252 314 471 628 942 1099 1413 1884 2198 2826 3297 4396 5652 6594 9463 9891 13188 18926 19782 28389 37852 39564 56778 66241 85167 113556 132482 170334 198723 264964 340668 397446 596169 794892 1192338 1485691 2384676 2971382 4457073 5942764 8914146 10399837 13371219 17828292 20799674 26742438 31199511 41599348 53484876 62399022 93598533 124798044 187197066 374394132