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330341436 = 22332923637
BaseRepresentation
bin10011101100001…
…001110000111100
3212000121002021000
4103230021300330
51134031411221
652440210300
711120566365
oct2354116074
9760532230
10330341436
1115a518457
1292769990
1353592309
1431c30b6c
151e003e26
hex13b09c3c

330341436 has 72 divisors (see below), whose sum is σ = 887235440. Its totient is φ = 106287552.

The previous prime is 330341383. The next prime is 330341443. The reversal of 330341436 is 634143033.

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 23 ways as a sum of consecutive naturals, for example, 89010 + ... + 92646.

Almost surely, 2330341436 is an apocalyptic number.

330341436 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 330341436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443617720).

330341436 is an abundant number, since it is smaller than the sum of its proper divisors (556894004).

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

330341436 is a wasteful number, since it uses less digits than its factorization.

330341436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 330341436 is about 18175.2974115969. The cubic root of 330341436 is about 691.2805708788.

Adding to 330341436 its reverse (634143033), we get a palindrome (964484469).

The spelling of 330341436 in words is "three hundred thirty million, three hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 841 1044 1566 1682 2523 3132 3364 3637 5046 7274 7569 10092 10911 14548 15138 21822 22707 30276 32733 43644 45414 65466 90828 98199 105473 130932 196398 210946 316419 392796 421892 632838 949257 1265676 1898514 2847771 3058717 3797028 5695542 6117434 9176151 11391084 12234868 18352302 27528453 36704604 55056906 82585359 110113812 165170718 330341436