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122434434 = 232131137379
BaseRepresentation
bin1110100110000…
…11001110000010
322112101022110200
413103003032002
5222320400214
620052110030
73014450463
oct723031602
9275338420
10122434434
1163124891
1235005316
131c49a015
1412390d6a
15ab36d09
hex74c3382

122434434 has 48 divisors (see below), whose sum is σ = 269961120. Its totient is φ = 40098240.

The previous prime is 122434427. The next prime is 122434441. The reversal of 122434434 is 434434221.

It is a happy number.

122434434 is a `hidden beast` number, since 1 + 224 + 3 + 4 + 434 = 666.

It is an interprime number because it is at equal distance from previous prime (122434427) and next prime (122434441).

It is a junction number, because it is equal to n+sod(n) for n = 122434398 and 122434407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322857 + ... + 323235.

It is an arithmetic number, because the mean of its divisors is an integer number (5624190).

Almost surely, 2122434434 is an apocalyptic number.

122434434 is an abundant number, since it is smaller than the sum of its proper divisors (147526686).

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

122434434 is a wasteful number, since it uses less digits than its factorization.

122434434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 652 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 122434434 is about 11065.0094441894. The cubic root of 122434434 is about 496.5555716466. Note that the first 4 decimals are identical.

Adding to 122434434 its reverse (434434221), we get a palindrome (556868655).

The spelling of 122434434 in words is "one hundred twenty-two million, four hundred thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 131 137 262 274 379 393 411 758 786 822 1137 1179 1233 2274 2358 2466 3411 6822 17947 35894 49649 51923 53841 99298 103846 107682 148947 155769 161523 297894 311538 323046 446841 467307 893682 934614 6801913 13603826 20405739 40811478 61217217 122434434