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339687972 = 223313237503
BaseRepresentation
bin10100001111110…
…011101000100100
3212200011221022000
4110033303220210
51143430003342
653412405300
711263204641
oct2417635044
9780157260
10339687972
11164821668
1295916830
13554b5600
1433184dc8
151ec4d44c
hex143f3a24

339687972 has 144 divisors (see below), whose sum is σ = 981348480. Its totient is φ = 101492352.

The previous prime is 339687937. The next prime is 339687973. The reversal of 339687972 is 279786933.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (339687973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675073 + ... + 675575.

It is an arithmetic number, because the mean of its divisors is an integer number (6814920).

Almost surely, 2339687972 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 339687972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490674240).

339687972 is an abundant number, since it is smaller than the sum of its proper divisors (641660508).

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

339687972 is a wasteful number, since it uses less digits than its factorization.

339687972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 558 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 339687972 is about 18430.6259253450. The cubic root of 339687972 is about 697.7396286145.

The spelling of 339687972 in words is "three hundred thirty-nine million, six hundred eighty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 169 222 234 333 338 351 444 468 481 503 507 666 676 702 962 999 1006 1014 1332 1404 1443 1509 1521 1924 1998 2012 2028 2886 3018 3042 3996 4329 4527 4563 5772 6036 6084 6253 6539 8658 9054 9126 12506 12987 13078 13581 17316 18108 18252 18611 18759 19617 25012 25974 26156 27162 37222 37518 39234 51948 54324 55833 56277 58851 74444 75036 78468 85007 111666 112554 117702 167499 168831 170014 176553 223332 225108 235404 241943 255021 334998 337662 340028 353106 483886 502497 510042 669996 675324 706212 725829 765063 967772 1004994 1020084 1451658 1530126 2009988 2177487 2295189 2903316 3060252 3145259 4354974 4590378 6290518 6532461 8709948 9180756 9435777 12581036 13064922 18871554 26129844 28307331 37743108 56614662 84921993 113229324 169843986 339687972