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3097740640 = 25537432283
BaseRepresentation
bin1011100010100011…
…1100010101100000
321222212221112021211
42320220330111200
522321010200030
61231215155504
7136523234551
oct27050742540
97885845254
103097740640
11134a659435
12725515b94
133a4a16837
142155aa328
15131e4e12a
hexb8a3c560

3097740640 has 144 divisors (see below), whose sum is σ = 7722258768. Its totient is φ = 1173408768.

The previous prime is 3097740631. The next prime is 3097740641. The reversal of 3097740640 is 460477903.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3097740593 and 3097740602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3097740641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10945939 + ... + 10946221.

It is an arithmetic number, because the mean of its divisors is an integer number (53626797).

Almost surely, 23097740640 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 3097740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861129384).

3097740640 is an abundant number, since it is smaller than the sum of its proper divisors (4624518128).

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

3097740640 is a wasteful number, since it uses less digits than its factorization.

3097740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 3097740640 is about 55657.3502782876. The cubic root of 3097740640 is about 1457.7454161617.

It can be divided in two parts, 30977 and 40640, that added together give a palindrome (71617).

The spelling of 3097740640 in words is "three billion, ninety-seven million, seven hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 43 74 80 86 148 160 172 185 215 283 296 344 370 430 566 592 688 740 860 1132 1184 1376 1415 1480 1591 1720 1849 2264 2830 2960 3182 3440 3698 4528 5660 5920 6364 6880 7396 7955 9056 9245 10471 11320 12169 12728 14792 15910 18490 20942 22640 24338 25456 29584 31820 36980 41884 45280 48676 50912 52355 59168 60845 63640 68413 73960 83768 97352 104710 121690 127280 136826 147920 167536 194704 209420 243380 254560 273652 295840 335072 342065 389408 418840 450253 486760 523267 547304 684130 837680 900506 973520 1046534 1094608 1368260 1675360 1801012 1947040 2093068 2189216 2251265 2616335 2736520 3602024 4186136 4502530 5232670 5473040 7204048 8372272 9005060 10465340 10946080 14408096 16744544 18010120 19360879 20930680 36020240 38721758 41861360 72040480 77443516 83722720 96804395 154887032 193608790 309774064 387217580 619548128 774435160 1548870320 3097740640