Search a number
-
+
374317416 = 233311257613
BaseRepresentation
bin10110010011111…
…010000101101000
3222002100021222000
4112103322011220
51231311124131
6101050531000
712163434264
oct2623720550
9862307860
10374317416
11182324240
12a5436a60
135c71b7c5
14379db0a4
1522cddce6
hex164fa168

374317416 has 128 divisors (see below), whose sum is σ = 1140566400. Its totient is φ = 112803840.

The previous prime is 374317393. The next prime is 374317439. The reversal of 374317416 is 614713473.

It is an interprime number because it is at equal distance from previous prime (374317393) and next prime (374317439).

It is a super-2 number, since 2×3743174162 = 280227055841834112, which contains 22 as substring.

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

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, 610326 + ... + 610938.

It is an arithmetic number, because the mean of its divisors is an integer number (8910675).

Almost surely, 2374317416 is an apocalyptic number.

374317416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374317416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570283200).

374317416 is an abundant number, since it is smaller than the sum of its proper divisors (766248984).

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

374317416 is a wasteful number, since it uses less digits than its factorization.

374317416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 886 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 374317416 is about 19347.2844606162. The cubic root of 374317416 is about 720.6869832000.

The spelling of 374317416 in words is "three hundred seventy-four million, three hundred seventeen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 257 264 297 396 514 594 613 771 792 1028 1188 1226 1542 1839 2056 2313 2376 2452 2827 3084 3678 4626 4904 5517 5654 6168 6743 6939 7356 8481 9252 11034 11308 13486 13878 14712 16551 16962 18504 20229 22068 22616 25443 26972 27756 33102 33924 40458 44136 50886 53944 55512 60687 66204 67848 76329 80916 101772 121374 132408 152658 157541 161832 182061 203544 242748 305316 315082 364122 472623 485496 610632 630164 728244 945246 1260328 1417869 1456488 1732951 1890492 2835738 3465902 3780984 4253607 5198853 5671476 6931804 8507214 10397706 11342952 13863608 15596559 17014428 20795412 31193118 34028856 41590824 46789677 62386236 93579354 124772472 187158708 374317416