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157438344 = 233747127157
BaseRepresentation
bin10010110001001…
…01000110001000
3101222020200210210
421120211012020
5310301011334
623342241120
73621126630
oct1130450610
9358220723
10157438344
1180962838
12448861a0
13268047ab
1416ca36c0
15dc4d5e9
hex9625188

157438344 has 128 divisors (see below), whose sum is σ = 465960960. Its totient is φ = 43400448.

The previous prime is 157438339. The next prime is 157438349. The reversal of 157438344 is 443834751.

It is an interprime number because it is at equal distance from previous prime (157438339) and next prime (157438349).

It is a super-2 number, since 2×1574383442 = 49573664322924672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157438349) 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, 1002714 + ... + 1002870.

It is an arithmetic number, because the mean of its divisors is an integer number (3640320).

Almost surely, 2157438344 is an apocalyptic number.

157438344 is a gapful number since it is divisible by the number (14) 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 157438344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232980480).

157438344 is an abundant number, since it is smaller than the sum of its proper divisors (308522616).

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

157438344 is a wasteful number, since it uses less digits than its factorization.

157438344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 157438344 is about 12547.4437237232. The cubic root of 157438344 is about 539.9706705607.

The spelling of 157438344 in words is "one hundred fifty-seven million, four hundred thirty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 127 141 157 168 188 254 282 314 329 376 381 471 508 564 628 658 762 889 942 987 1016 1099 1128 1256 1316 1524 1778 1884 1974 2198 2632 2667 3048 3297 3556 3768 3948 4396 5334 5969 6594 7112 7379 7896 8792 10668 11938 13188 14758 17907 19939 21336 22137 23876 26376 29516 35814 39878 41783 44274 47752 51653 59032 59817 71628 79756 83566 88548 103306 119634 125349 139573 143256 154959 159512 167132 177096 206612 239268 250698 279146 309918 334264 413224 418719 478536 501396 558292 619836 837438 937133 1002792 1116584 1239672 1674876 1874266 2811399 3349752 3748532 5622798 6559931 7497064 11245596 13119862 19679793 22491192 26239724 39359586 52479448 78719172 157438344