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3023430930 = 2325133122689
BaseRepresentation
bin1011010000110101…
…1110010100010010
321210201010012112100
42310031132110102
522142444242210
61220002341230
7134631511302
oct26415362422
97721105470
103023430930
111311714453
1270465a816
133924c94b0
14209785602
1512a6715c0
hexb435e512

3023430930 has 144 divisors (see below), whose sum is σ = 8750752920. Its totient is φ = 719953920.

The previous prime is 3023430923. The next prime is 3023430953. The reversal of 3023430930 is 390343203.

It can be written as a sum of positive squares in 4 ways, for example, as 1005714369 + 2017716561 = 31713^2 + 44919^2 .

It is a super-2 number, since 2×30234309302 = 18282269176961329800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3023430894 and 3023430903.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1123026 + ... + 1125714.

Almost surely, 23023430930 is an apocalyptic number.

3023430930 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 3023430930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375376460).

3023430930 is an abundant number, since it is smaller than the sum of its proper divisors (5727321990).

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

3023430930 is a wasteful number, since it uses less digits than its factorization.

3023430930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3023430930 is about 54985.7338770703. The cubic root of 3023430930 is about 1445.9946425196.

The spelling of 3023430930 in words is "three billion, twenty-three million, four hundred thirty thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 961 1170 1209 1395 1922 2015 2418 2689 2790 2883 3627 4030 4805 5378 5766 6045 7254 8067 8649 9610 12090 12493 13445 14415 16134 17298 18135 24201 24986 26890 28830 34957 36270 37479 40335 43245 48402 62465 69914 74958 80670 83359 86490 104871 112437 121005 124930 166718 174785 187395 209742 224874 242010 250077 314613 349570 374790 416795 500154 524355 562185 629226 750231 833590 1048710 1083667 1124370 1250385 1500462 1573065 2167334 2500770 2584129 3146130 3251001 3751155 5168258 5418335 6502002 7502310 7752387 9753003 10836670 12920645 15504774 16255005 19506006 23257161 25841290 32510010 33593677 38761935 46514322 48765015 67187354 77523870 97530030 100781031 116285805 167968385 201562062 232571610 302343093 335936770 503905155 604686186 1007810310 1511715465 3023430930