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3149876970 = 234537227463
BaseRepresentation
bin1011101110111111…
…0100111011101010
322010112001022220000
42323233310323222
522422332030340
61240320443430
7141025340532
oct27357647352
98115038800
103149876970
111377029209
1273aa79576
133b276c436
1421c49c4c2
151367ebd30
hexbbbf4eea

3149876970 has 160 divisors (see below), whose sum is σ = 8755769088. Its totient is φ = 811907712.

The previous prime is 3149876929. The next prime is 3149876971. The reversal of 3149876970 is 796789413.

It is a happy number.

It is a super-2 number, since 2×31498769702 = 19843449852272761800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3149876971) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6802959 + ... + 6803421.

Almost surely, 23149876970 is an apocalyptic number.

3149876970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3149876970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377884544).

3149876970 is an abundant number, since it is smaller than the sum of its proper divisors (5605892118).

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

3149876970 is a wasteful number, since it uses less digits than its factorization.

3149876970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 3149876970 is about 56123.7647525538. The cubic root of 3149876970 is about 1465.8781240442.

The spelling of 3149876970 in words is "three billion, one hundred forty-nine million, eight hundred seventy-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 227 270 333 370 405 454 463 555 666 681 810 926 999 1110 1135 1362 1389 1665 1998 2043 2270 2315 2778 2997 3330 3405 4086 4167 4630 4995 5994 6129 6810 6945 8334 8399 9990 10215 12258 12501 13890 14985 16798 17131 18387 20430 20835 25002 25197 29970 30645 34262 36774 37503 41670 41995 50394 51393 61290 62505 75006 75591 83990 85655 91935 102786 105101 125010 125985 151182 154179 171310 183870 187515 210202 226773 251970 256965 308358 315303 375030 377955 453546 462537 513930 525505 630606 680319 755910 770895 925074 945909 1051010 1133865 1360638 1387611 1541790 1576515 1891818 2267730 2312685 2775222 2837727 3153030 3401595 3888737 4625370 4729545 5675454 6803190 6938055 7777474 8513181 9459090 11666211 13876110 14188635 17026362 19443685 23332422 28377270 34998633 38887370 42565905 58331055 69997266 85131810 104995899 116662110 174993165 209991798 314987697 349986330 524979495 629975394 1049958990 1574938485 3149876970