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34149492 = 22331321871
BaseRepresentation
bin1000001001000…
…1010001110100
32101020222022000
42002101101310
532220240432
63215535300
7563160126
oct202212164
971228260
1034149492
1118305023
12b52a530
1370c8900
14476d216
152ee857c
hex2091474

34149492 has 72 divisors (see below), whose sum is σ = 95921280. Its totient is φ = 10501920.

The previous prime is 34149469. The next prime is 34149553. The reversal of 34149492 is 29494143.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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, 17317 + ... + 19187.

It is an arithmetic number, because the mean of its divisors is an integer number (1332240).

Almost surely, 234149492 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 34149492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47960640).

34149492 is an abundant number, since it is smaller than the sum of its proper divisors (61771788).

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

34149492 is a wasteful number, since it uses less digits than its factorization.

34149492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1889 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34149492 is about 5843.7566684454. The cubic root of 34149492 is about 324.4352859984.

The spelling of 34149492 in words is "thirty-four million, one hundred forty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 1871 2028 3042 3742 4563 5613 6084 7484 9126 11226 16839 18252 22452 24323 33678 48646 50517 67356 72969 97292 101034 145938 202068 218907 291876 316199 437814 632398 656721 875628 948597 1264796 1313442 1897194 2626884 2845791 3794388 5691582 8537373 11383164 17074746 34149492