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423400704 = 2834312821
BaseRepresentation
bin11001001111001…
…001010100000000
31002111200222120120
4121033021110000
51331342310304
6110002540240
713330563246
oct3117112400
91074628516
10423400704
111a7aa9241
12b9967680
136994587c
1440336796
15272870d9
hex193c9500

423400704 has 72 divisors (see below), whose sum is σ = 1153159392. Its totient is φ = 137840640.

The previous prime is 423400699. The next prime is 423400741. The reversal of 423400704 is 407004324.

It is a super-2 number, since 2×4234007042 = 358536312295391232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 26614 + ... + 39434.

Almost surely, 2423400704 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 423400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576579696).

423400704 is an abundant number, since it is smaller than the sum of its proper divisors (729758688).

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

423400704 is a wasteful number, since it uses less digits than its factorization.

423400704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12883 (or 12869 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 423400704 is about 20576.7029428915. The cubic root of 423400704 is about 750.9030331607.

The spelling of 423400704 in words is "four hundred twenty-three million, four hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 2064 2752 4128 5504 8256 11008 12821 16512 25642 33024 38463 51284 76926 102568 153852 205136 307704 410272 551303 615408 820544 1102606 1230816 1641088 1653909 2205212 2461632 3282176 3307818 4410424 4923264 6615636 8820848 9846528 13231272 17641696 26462544 35283392 52925088 70566784 105850176 141133568 211700352 423400704