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4073734340 = 2251371733023
BaseRepresentation
bin1111001011010000…
…0100000011000100
3101111220110010221122
43302310010003010
531320333444330
61512122133112
7202644112334
oct36264040304
911456403848
104073734340
1118005759a5
12958351198
134cbc99bc0
142a90690c4
1518c98c5e5
hexf2d040c4

4073734340 has 96 divisors (see below), whose sum is σ = 9473780736. Its totient is φ = 1462164480.

The previous prime is 4073734339. The next prime is 4073734363. The reversal of 4073734340 is 434373704.

It is a super-2 number, since 2×40737343402 = 33190622945790471200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4073734340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1346069 + ... + 1349091.

It is an arithmetic number, because the mean of its divisors is an integer number (98685216).

Almost surely, 24073734340 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 4073734340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736890368).

4073734340 is an abundant number, since it is smaller than the sum of its proper divisors (5400046396).

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

4073734340 is a wasteful number, since it uses less digits than its factorization.

4073734340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 35.

The square root of 4073734340 is about 63825.8124899323. The cubic root of 4073734340 is about 1597.0955563405.

The spelling of 4073734340 in words is "four billion, seventy-three million, seven hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 73 130 142 146 260 284 292 355 365 710 730 923 949 1420 1460 1846 1898 3023 3692 3796 4615 4745 5183 6046 9230 9490 10366 12092 15115 18460 18980 20732 25915 30230 39299 51830 60460 67379 78598 103660 134758 157196 196495 214633 220679 269516 336895 392990 429266 441358 673790 785980 858532 882716 1073165 1103395 1347580 2146330 2206790 2790229 2868827 4292660 4413580 5580458 5737654 11160916 11475308 13951145 14344135 15668209 27902290 28688270 31336418 55804580 57376540 62672836 78341045 156682090 203686717 313364180 407373434 814746868 1018433585 2036867170 4073734340