Search a number
-
+
34228938624 = 273891001549
BaseRepresentation
bin11111111000001101…
…000010011110000000
310021100110210020120120
4133320031002132000
51030100102013444
623420300540240
72321140114656
oct377015023600
9107313706516
1034228938624
1113575386231
126773251680
1332c656394a
141929d54dd6
15d55022b19
hex7f8342780

34228938624 has 64 divisors (see below), whose sum is σ = 91942290000. Its totient is φ = 11281436672.

The previous prime is 34228938619. The next prime is 34228938637. The reversal of 34228938624 is 42683982243.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466599 + ... + 534950.

Almost surely, 234228938624 is an apocalyptic number.

It is an amenable number.

34228938624 is an abundant number, since it is smaller than the sum of its proper divisors (57713351376).

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

34228938624 is a wasteful number, since it uses less digits than its factorization.

34228938624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001655 (or 1001643 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The spelling of 34228938624 in words is "thirty-four billion, two hundred twenty-eight million, nine hundred thirty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 534 712 1068 1424 2136 2848 4272 5696 8544 11392 17088 34176 1001549 2003098 3004647 4006196 6009294 8012392 12018588 16024784 24037176 32049568 48074352 64099136 89137861 96148704 128198272 178275722 192297408 267413583 356551444 384594816 534827166 713102888 1069654332 1426205776 2139308664 2852411552 4278617328 5704823104 8557234656 11409646208 17114469312 34228938624