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334225716 = 223112383601
BaseRepresentation
bin10011111010111…
…110000100110100
3212021220102111020
4103322332010310
51141030210331
653055341140
711165604666
oct2372760464
9767812436
10334225716
11161730800
1293b217b0
13543222c6
1432562536
151e51ec96
hex13ebe134

334225716 has 72 divisors (see below), whose sum is σ = 860869632. Its totient is φ = 100848000.

The previous prime is 334225711. The next prime is 334225721. The reversal of 334225716 is 617522433.

It is an interprime number because it is at equal distance from previous prime (334225711) and next prime (334225721).

It is a super-2 number, since 2×3342257162 = 223413658471425312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334225711) 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, 555816 + ... + 556416.

Almost surely, 2334225716 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 334225716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430434816).

334225716 is an abundant number, since it is smaller than the sum of its proper divisors (526643916).

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

334225716 is a wasteful number, since it uses less digits than its factorization.

334225716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1000 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 334225716 is about 18281.8411545446. The cubic root of 334225716 is about 693.9794665973.

The spelling of 334225716 in words is "three hundred thirty-four million, two hundred twenty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 383 484 601 726 766 1149 1202 1452 1532 1803 2298 2404 3606 4213 4596 6611 7212 8426 12639 13222 16852 19833 25278 26444 39666 46343 50556 72721 79332 92686 139029 145442 185372 218163 230183 278058 290884 436326 460366 556116 690549 872652 920732 1381098 2532013 2762196 5064026 7596039 10128052 15192078 27852143 30384156 55704286 83556429 111408572 167112858 334225716