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30497376 = 2537133491
BaseRepresentation
bin111010001010…
…1101001100000
32010101102112110
41310111221200
530301404001
63005355320
7520136430
oct164255140
963342473
1030497376
1116240148
12a268b40
13641a4b0
14409c2c0
152a263d6
hex1d15a60

30497376 has 96 divisors (see below), whose sum is σ = 98558208. Its totient is φ = 8040960.

The previous prime is 30497351. The next prime is 30497381. The reversal of 30497376 is 67379403.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6991 + ... + 10481.

It is an arithmetic number, because the mean of its divisors is an integer number (1026648).

Almost surely, 230497376 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 30497376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49279104).

30497376 is an abundant number, since it is smaller than the sum of its proper divisors (68060832).

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

30497376 is a wasteful number, since it uses less digits than its factorization.

30497376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 30497376 is about 5522.4429376862. The cubic root of 30497376 is about 312.4310281917.

The spelling of 30497376 in words is "thirty million, four hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 3491 4368 6982 8736 10473 13964 20946 24437 27928 41892 45383 48874 55856 73311 83784 90766 97748 111712 136149 146622 167568 181532 195496 272298 293244 317681 335136 363064 390992 544596 586488 635362 726128 781984 953043 1089192 1172976 1270724 1452256 1906086 2178384 2345952 2541448 3812172 4356768 5082896 7624344 10165792 15248688 30497376