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34123404 = 22372131443
BaseRepresentation
bin1000001000101…
…0111010001100
32101012122111210
42002022322030
532213422104
63215214420
7563021100
oct202127214
971178453
1034123404
1118297467
12b517410
1370b9a83
144763900
152ee0989
hex208ae8c

34123404 has 72 divisors (see below), whose sum is σ = 93538368. Its totient is φ = 9653280.

The previous prime is 34123393. The next prime is 34123423. The reversal of 34123404 is 40432143.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 76807 + ... + 77249.

It is an arithmetic number, because the mean of its divisors is an integer number (1299144).

Almost surely, 234123404 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 34123404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46769184).

34123404 is an abundant number, since it is smaller than the sum of its proper divisors (59414964).

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

34123404 is a wasteful number, since it uses less digits than its factorization.

34123404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34123404 is about 5841.5241161875. The cubic root of 34123404 is about 324.3526491035.

Adding to 34123404 its reverse (40432143), we get a palindrome (74555547).

The spelling of 34123404 in words is "thirty-four million, one hundred twenty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 131 147 196 262 294 393 443 524 588 786 886 917 1329 1572 1772 1834 2658 2751 3101 3668 5316 5502 6202 6419 9303 11004 12404 12838 18606 19257 21707 25676 37212 38514 43414 58033 65121 77028 86828 116066 130242 174099 232132 260484 348198 406231 696396 812462 1218693 1624924 2437386 2843617 4874772 5687234 8530851 11374468 17061702 34123404