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331730640 = 2434551193
BaseRepresentation
bin10011110001011…
…100111011010000
3212010012122220000
4103301130323100
51134410340030
652530050000
711135443503
oct2361347320
9763178800
10331730640
1116028715a
1293119900
135395a727
14320b313a
151e1ca860
hex13c5ced0

331730640 has 100 divisors (see below), whose sum is σ = 1152172164. Its totient is φ = 88459776.

The previous prime is 331730621. The next prime is 331730669. The reversal of 331730640 is 46037133.

It is a happy number.

331730640 is a `hidden beast` number, since 3 + 3 + 17 + 3 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50296464 + 281434176 = 7092^2 + 16776^2 .

It is a super-2 number, since 2×3317306402 = 220090435029619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19117 + ... + 32076.

Almost surely, 2331730640 is an apocalyptic number.

331730640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331730640 is an abundant number, since it is smaller than the sum of its proper divisors (820441524).

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

331730640 is a wasteful number, since it uses less digits than its factorization.

331730640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51218 (or 51203 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 331730640 is about 18213.4741331795. The cubic root of 331730640 is about 692.2482431003.

Adding to 331730640 its reverse (46037133), we get a palindrome (377767773).

The spelling of 331730640 in words is "three hundred thirty-one million, seven hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 51193 102386 153579 204772 255965 307158 409544 460737 511930 614316 767895 819088 921474 1023860 1228632 1382211 1535790 1842948 2047720 2303685 2457264 2764422 3071580 3685896 4095440 4146633 4607370 5528844 6143160 6911055 7371792 8293266 9214740 11057688 12286320 13822110 16586532 18429480 20733165 22115376 27644220 33173064 36858960 41466330 55288440 66346128 82932660 110576880 165865320 331730640