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330506136 = 23332371937
BaseRepresentation
bin10011101100110…
…001111110011000
3212000220110012000
4103230301332120
51134102144021
652443521000
711122153512
oct2354617630
9760813160
10330506136
1115a620174
1292829160
135361c27c
1431c74bb2
151e037b26
hex13b31f98

330506136 has 128 divisors (see below), whose sum is σ = 972518400. Its totient is φ = 103783680.

The previous prime is 330506123. The next prime is 330506149. The reversal of 330506136 is 631605033.

It is an interprime number because it is at equal distance from previous prime (330506123) and next prime (330506149).

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 31 ways as a sum of consecutive naturals, for example, 352260 + ... + 353196.

It is an arithmetic number, because the mean of its divisors is an integer number (7597800).

Almost surely, 2330506136 is an apocalyptic number.

330506136 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 330506136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486259200).

330506136 is an abundant number, since it is smaller than the sum of its proper divisors (642012264).

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

330506136 is a wasteful number, since it uses less digits than its factorization.

330506136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 330506136 is about 18179.8277219560. The cubic root of 330506136 is about 691.3954368743.

The spelling of 330506136 in words is "three hundred thirty million, five hundred six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 71 72 92 108 138 142 184 207 213 216 276 284 414 426 552 568 621 639 828 852 937 1242 1278 1633 1656 1704 1874 1917 2484 2556 2811 3266 3748 3834 4899 4968 5112 5622 6532 7496 7668 8433 9798 11244 13064 14697 15336 16866 19596 21551 22488 25299 29394 33732 39192 43102 44091 50598 58788 64653 66527 67464 86204 88182 101196 117576 129306 133054 172408 176364 193959 199581 202392 258612 266108 352728 387918 399162 517224 532216 581877 598743 775836 798324 1163754 1197486 1530121 1551672 1596648 1796229 2327508 2394972 3060242 3592458 4590363 4655016 4789944 6120484 7184916 9180726 12240968 13771089 14369832 18361452 27542178 36722904 41313267 55084356 82626534 110168712 165253068 330506136