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970672340 = 2251129353431
BaseRepresentation
bin111001110110110…
…100100011010100
32111122111021010102
4321312310203110
53441443003330
6240152513232
733024402341
oct7166644324
92448437112
10970672340
11458a12550
122310ab818
1312613c241
1492cb57c8
155a33b945
hex39db48d4

970672340 has 96 divisors (see below), whose sum is σ = 2312271360. Its totient is φ = 339046400.

The previous prime is 970672331. The next prime is 970672343. The reversal of 970672340 is 43276079.

It is a junction number, because it is equal to n+sod(n) for n = 970672294 and 970672303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970672343) 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, 2251925 + ... + 2252355.

It is an arithmetic number, because the mean of its divisors is an integer number (24086160).

Almost surely, 2970672340 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 970672340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156135680).

970672340 is an abundant number, since it is smaller than the sum of its proper divisors (1341599020).

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

970672340 is a wasteful number, since it uses less digits than its factorization.

970672340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 970672340 is about 31155.6149032562. The cubic root of 970672340 is about 990.1269571565.

The spelling of 970672340 in words is "nine hundred seventy million, six hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 353 431 580 638 706 862 1276 1412 1595 1724 1765 2155 3190 3530 3883 4310 4741 6380 7060 7766 8620 9482 10237 12499 15532 18964 19415 20474 23705 24998 38830 40948 47410 49996 51185 62495 77660 94820 102370 112607 124990 137489 152143 204740 225214 249980 274978 304286 450428 549956 563035 608572 687445 760715 1126070 1374890 1521430 1673573 2252140 2749780 3042860 3347146 4412147 6694292 8367865 8824294 16735730 17648588 22060735 33471460 44121470 48533617 88242940 97067234 194134468 242668085 485336170 970672340