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34774740 = 2232571113193
BaseRepresentation
bin1000010010100…
…1111011010100
32102102201222100
42010221323110
532400242430
63241202100
7601403040
oct204517324
972381870
1034774740
11186a1860
12b790330
137287390
144893020
1530bd960
hex2129ed4

34774740 has 288 divisors, whose sum is σ = 142361856. Its totient is φ = 6635520.

The previous prime is 34774721. The next prime is 34774763. The reversal of 34774740 is 4747743.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 34774695 and 34774704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180084 + ... + 180276.

It is an arithmetic number, because the mean of its divisors is an integer number (494312).

Almost surely, 234774740 is an apocalyptic number.

34774740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34774740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71180928).

34774740 is an abundant number, since it is smaller than the sum of its proper divisors (107587116).

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

34774740 is a wasteful number, since it uses less digits than its factorization.

34774740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 34774740 is about 5897.0111073323. The cubic root of 34774740 is about 326.4033673600.

The spelling of 34774740 in words is "thirty-four million, seven hundred seventy-four thousand, seven hundred forty".