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342609408 = 2932149499
BaseRepresentation
bin10100011010111…
…100111000000000
3212212200100202100
4110122330320000
51200202000113
653555150400
711330063151
oct2432747000
9785610670
10342609408
11166437579
12968a5400
1355c9927b
1433705928
1520128d73
hex146bce00

342609408 has 120 divisors (see below), whose sum is σ = 997425000. Its totient is φ = 113209344.

The previous prime is 342609359. The next prime is 342609433. The reversal of 342609408 is 804906243.

It is a happy number.

342609408 is a `hidden beast` number, since 3 + 4 + 2 + 609 + 40 + 8 = 666.

It is a super-2 number, since 2×3426094082 = 234762412900220928, which contains 22 as substring.

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

It is a congruent number.

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, 686343 + ... + 686841.

It is an arithmetic number, because the mean of its divisors is an integer number (8311875).

Almost surely, 2342609408 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 342609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498712500).

342609408 is an abundant number, since it is smaller than the sum of its proper divisors (654815592).

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

342609408 is a wasteful number, since it uses less digits than its factorization.

342609408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 342609408 is about 18509.7111808910. The cubic root of 342609408 is about 699.7341902338.

The spelling of 342609408 in words is "three hundred forty-two million, six hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 192 256 288 298 384 447 499 512 576 596 768 894 998 1152 1192 1341 1497 1536 1788 1996 2304 2384 2682 2994 3576 3992 4491 4608 4768 5364 5988 7152 7984 8982 9536 10728 11976 14304 15968 17964 19072 21456 23952 28608 31936 35928 38144 42912 47904 57216 63872 71856 74351 76288 85824 95808 114432 127744 143712 148702 171648 191616 223053 228864 255488 287424 297404 343296 383232 446106 574848 594808 669159 686592 766464 892212 1149696 1189616 1338318 1784424 2299392 2379232 2676636 3568848 4758464 5353272 7137696 9516928 10706544 14275392 19033856 21413088 28550784 38067712 42826176 57101568 85652352 114203136 171304704 342609408