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2701474340 = 2251937271709
BaseRepresentation
bin1010000100000101…
…0011101000100100
320222021022010010012
42201001103220210
521013034134330
61124021545352
7123642103325
oct24101235044
96867263105
102701474340
111166a03724
12634875258
133408b1836
141b8ad844c
1510c276c95
hexa1053a24

2701474340 has 96 divisors (see below), whose sum is σ = 6164390400. Its totient is φ = 990973440.

The previous prime is 2701474339. The next prime is 2701474343. The reversal of 2701474340 is 434741072.

It is a junction number, because it is equal to n+sod(n) for n = 2701474297 and 2701474306.

It is not an unprimeable number, because it can be changed into a prime (2701474343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3809906 + ... + 3810614.

It is an arithmetic number, because the mean of its divisors is an integer number (64212400).

Almost surely, 22701474340 is an apocalyptic number.

2701474340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2701474340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082195200).

2701474340 is an abundant number, since it is smaller than the sum of its proper divisors (3462916060).

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

2701474340 is a wasteful number, since it uses less digits than its factorization.

2701474340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 2701474340 is about 51975.7091341715. The cubic root of 2701474340 is about 1392.7300587825.

The spelling of 2701474340 in words is "two billion, seven hundred one million, four hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 271 370 380 542 703 709 740 1084 1355 1406 1418 2710 2812 2836 3515 3545 5149 5420 7030 7090 10027 10298 13471 14060 14180 20054 20596 25745 26233 26942 40108 50135 51490 52466 53884 67355 100270 102980 104932 131165 134710 190513 192139 200540 262330 269420 381026 384278 498427 524660 762052 768556 952565 960695 996854 1905130 1921390 1993708 2492135 3650641 3810260 3842780 4984270 7109143 7301282 9968540 14218286 14602564 18253205 28436572 35545715 36506410 71091430 73012820 135073717 142182860 270147434 540294868 675368585 1350737170 2701474340