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30400704 = 263373241
BaseRepresentation
bin111001111111…
…0000011000000
32010012111221000
41303332003000
530240310304
63003332000
7516254535
oct163760300
963174830
1030400704
1116184554
12a221000
1363b54a9
144074d8c
152a07939
hex1cfe0c0

30400704 has 112 divisors (see below), whose sum is σ = 90972640. Its totient is φ = 9953280.

The previous prime is 30400651. The next prime is 30400723. The reversal of 30400704 is 40700403.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126024 + ... + 126264.

Almost surely, 230400704 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 30400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45486320).

30400704 is an abundant number, since it is smaller than the sum of its proper divisors (60571936).

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

30400704 is a wasteful number, since it uses less digits than its factorization.

30400704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 30400704 is about 5513.6833423765. The cubic root of 30400704 is about 312.1005593017.

The spelling of 30400704 in words is "thirty million, four hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 144 146 192 216 219 241 288 292 432 438 482 576 584 657 723 864 876 964 1168 1314 1446 1728 1752 1928 1971 2169 2336 2628 2892 3504 3856 3942 4338 4672 5256 5784 6507 7008 7712 7884 8676 10512 11568 13014 14016 15424 15768 17352 17593 21024 23136 26028 31536 34704 35186 42048 46272 52056 52779 63072 69408 70372 104112 105558 126144 138816 140744 158337 208224 211116 281488 316674 416448 422232 475011 562976 633348 844464 950022 1125952 1266696 1688928 1900044 2533392 3377856 3800088 5066784 7600176 10133568 15200352 30400704