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330068772 = 2232111974231
BaseRepresentation
bin10011101011000…
…111001100100100
3212000002020020100
4103223013030210
51133444200042
652430304100
711115352425
oct2353071444
9760066210
10330068772
1115a351610
1292658030
13534c8187
1431b9d64c
151de9d24c
hex13ac7324

330068772 has 72 divisors (see below), whose sum is σ = 915026112. Its totient is φ = 99489600.

The previous prime is 330068771. The next prime is 330068773. The reversal of 330068772 is 277860033.

It is an interprime number because it is at equal distance from previous prime (330068771) and next prime (330068773).

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

It is not an unprimeable number, because it can be changed into a prime (330068771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75897 + ... + 80127.

It is an arithmetic number, because the mean of its divisors is an integer number (12708696).

Almost surely, 2330068772 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 330068772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457513056).

330068772 is an abundant number, since it is smaller than the sum of its proper divisors (584957340).

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

330068772 is a wasteful number, since it uses less digits than its factorization.

330068772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 330068772 is about 18167.7949129772. The cubic root of 330068772 is about 691.0903240735.

The spelling of 330068772 in words is "three hundred thirty million, sixty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 197 198 394 396 591 788 1182 1773 2167 2364 3546 4231 4334 6501 7092 8462 8668 12693 13002 16924 19503 25386 26004 38079 39006 46541 50772 76158 78012 93082 139623 152316 186164 279246 418869 558492 833507 837738 1667014 1675476 2500521 3334028 5001042 7501563 9168577 10002084 15003126 18337154 27505731 30006252 36674308 55011462 82517193 110022924 165034386 330068772