Search a number
-
+
34651432660 = 22513896072467
BaseRepresentation
bin100000010001011000…
…101110011011010100
310022102220210011102211
4200101120232123110
51031431231321120
623530232243204
72334460214005
oct402130563324
9108386704384
1034651432660
1113771915259
126870840504
133362c4c910
14196a0d31ac
15d7c17b25a
hex81162e6d4

34651432660 has 96 divisors (see below), whose sum is σ = 79408788480. Its totient is φ = 12624657408.

The previous prime is 34651432633. The next prime is 34651432663. The reversal of 34651432660 is 6623415643.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34651432663) 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, 14044747 + ... + 14047213.

It is an arithmetic number, because the mean of its divisors is an integer number (827174880).

Almost surely, 234651432660 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 34651432660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39704394240).

34651432660 is an abundant number, since it is smaller than the sum of its proper divisors (44757355820).

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

34651432660 is a wasteful number, since it uses less digits than its factorization.

34651432660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 34651432660 in words is "thirty-four billion, six hundred fifty-one million, four hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 607 890 1157 1214 1780 2314 2428 2467 3035 4628 4934 5785 6070 7891 9868 11570 12140 12335 15782 23140 24670 31564 32071 39455 49340 54023 64142 78910 108046 128284 157820 160355 216092 219563 270115 320710 439126 540230 641420 702299 878252 1080460 1097815 1404598 1497469 2195630 2809196 2854319 2994938 3511495 4391260 5708638 5989876 7022990 7487345 11417276 14045980 14271595 14974690 19467097 28543190 29949380 38934194 57086380 77868388 97335485 133274741 194670970 266549482 389341940 533098964 666373705 1332747410 1732571633 2665494820 3465143266 6930286532 8662858165 17325716330 34651432660