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332786340 = 223354115031
BaseRepresentation
bin10011110101011…
…110101010100100
3212012012022001000
4103311132222210
51140143130330
653004433300
711150431365
oct2365365244
9765168030
10332786340
11160938337
1293548830
1353c3a0c3
14322a9b6c
151e338560
hex13d5eaa4

332786340 has 96 divisors (see below), whose sum is σ = 1060657920. Its totient is φ = 86572800.

The previous prime is 332786327. The next prime is 332786351. The reversal of 332786340 is 43687233.

It is a super-2 number, since 2×3327863402 = 221493496181191200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 332786295 and 332786304.

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, 14625 + ... + 29655.

It is an arithmetic number, because the mean of its divisors is an integer number (11048520).

Almost surely, 2332786340 is an apocalyptic number.

332786340 is a gapful number since it is divisible by the number (30) 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 332786340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530328960).

332786340 is an abundant number, since it is smaller than the sum of its proper divisors (727871580).

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

332786340 is a wasteful number, since it uses less digits than its factorization.

332786340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15090 (or 15082 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 332786340 is about 18242.4324036023. The cubic root of 332786340 is about 692.9818027118.

The spelling of 332786340 in words is "three hundred thirty-two million, seven hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 15031 22140 30062 45093 60124 75155 90186 135279 150310 180372 225465 270558 300620 405837 450930 541116 616271 676395 811674 901860 1232542 1352790 1623348 1848813 2029185 2465084 2705580 3081355 3697626 4058370 5546439 6162710 7395252 8116740 9244065 11092878 12325420 16639317 18488130 22185756 27732195 33278634 36976260 55464390 66557268 83196585 110928780 166393170 332786340