Search a number
-
+
3370979928 = 233317983691
BaseRepresentation
bin1100100011101101…
…0001001001011000
322200221002112010110
43020323101021120
523400432324203
61314255444320
7146351566551
oct31073211130
98627075113
103370979928
11147a915128
127a0b266a0
13419504ba4
1423d9b5328
1514ae23d03
hexc8ed1258

3370979928 has 128 divisors (see below), whose sum is σ = 8928460800. Its totient is φ = 1059177600.

The previous prime is 3370979921. The next prime is 3370979957. The reversal of 3370979928 is 8299790733.

It is a super-2 number, since 2×33709799282 = 22727011349957770368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3370979921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4878063 + ... + 4878753.

It is an arithmetic number, because the mean of its divisors is an integer number (69753600).

Almost surely, 23370979928 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 3370979928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464230400).

3370979928 is an abundant number, since it is smaller than the sum of its proper divisors (5557480872).

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

3370979928 is a wasteful number, since it uses less digits than its factorization.

3370979928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 57.

The square root of 3370979928 is about 58060.1406129885. The cubic root of 3370979928 is about 1499.4041971551.

The spelling of 3370979928 in words is "three billion, three hundred seventy million, nine hundred seventy-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 79 83 93 124 158 166 186 237 248 249 316 332 372 474 498 632 664 691 744 948 996 1382 1896 1992 2073 2449 2573 2764 4146 4898 5146 5528 6557 7347 7719 8292 9796 10292 13114 14694 15438 16584 19592 19671 20584 21421 26228 29388 30876 39342 42842 52456 54589 57353 58776 61752 64263 78684 85684 109178 114706 128526 157368 163767 171368 172059 203267 218356 229412 257052 327534 344118 406534 436712 458824 514104 609801 655068 688236 813068 1219602 1310136 1376472 1626136 1692259 1777943 2439204 3384518 3555886 4530887 4878408 5076777 5333829 6769036 7111772 9061774 10153554 10667658 13538072 13592661 14223544 18123548 20307108 21335316 27185322 36247096 40614216 42670632 54370644 108741288 140457497 280914994 421372491 561829988 842744982 1123659976 1685489964 3370979928