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94134816 = 25321917203
BaseRepresentation
bin1011001110001…
…10001000100000
320120010112200200
411213012020200
5143044303231
613201345200
72222063346
oct547061040
9216115620
1094134816
1149155976
1227638200
131666bc99
14c705996
1583e6be6
hex59c6220

94134816 has 72 divisors (see below), whose sum is σ = 281801520. Its totient is φ = 29725056.

The previous prime is 94134793. The next prime is 94134823. The reversal of 94134816 is 61843149.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×941348162 = 17722727166707712, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3130 + ... + 14073.

It is an arithmetic number, because the mean of its divisors is an integer number (3913910).

Almost surely, 294134816 is an apocalyptic number.

94134816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

94134816 is an abundant number, since it is smaller than the sum of its proper divisors (187666704).

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

94134816 is a wasteful number, since it uses less digits than its factorization.

94134816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17238 (or 17227 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 94134816 is about 9702.3098280770. The cubic root of 94134816 is about 454.9008615468.

The spelling of 94134816 in words is "ninety-four million, one hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 17203 34406 51609 68812 103218 137624 154827 206436 275248 309654 326857 412872 550496 619308 653714 825744 980571 1238616 1307428 1651488 1961142 2477232 2614856 2941713 3922284 4954464 5229712 5883426 7844568 10459424 11766852 15689136 23533704 31378272 47067408 94134816