Search a number
-
+
3390786476 = 22721117711303
BaseRepresentation
bin1100101000011011…
…0100101110101100
322202022100210121022
43022012310232230
523421020131401
61320244153312
7150012131600
oct31206645654
98668323538
103390786476
111490013080
127a7698838
1342064b23c
1424248d500
1514ca3771b
hexca1b4bac

3390786476 has 144 divisors (see below), whose sum is σ = 8091643392. Its totient is φ = 1224921600.

The previous prime is 3390786409. The next prime is 3390786481. The reversal of 3390786476 is 6746870933.

3390786476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33907864762 = 22994865851648997152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2601641 + ... + 2602943.

It is an arithmetic number, because the mean of its divisors is an integer number (56191968).

Almost surely, 23390786476 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 3390786476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045821696).

3390786476 is an abundant number, since it is smaller than the sum of its proper divisors (4700856916).

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

3390786476 is a wasteful number, since it uses less digits than its factorization.

3390786476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 53.

The square root of 3390786476 is about 58230.4600359640. The cubic root of 3390786476 is about 1502.3351001703.

The spelling of 3390786476 in words is "three billion, three hundred ninety million, seven hundred eighty-six thousand, four hundred seventy-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 68 71 77 98 119 142 154 187 196 238 284 308 374 476 497 539 748 781 833 994 1078 1207 1303 1309 1562 1666 1988 2156 2414 2606 2618 3124 3332 3479 4828 5212 5236 5467 6958 8449 9121 9163 10934 13277 13916 14333 16898 18242 18326 21868 22151 26554 28666 33796 36484 36652 38269 44302 53108 57332 59143 63847 76538 88604 92513 92939 100331 118286 127694 153076 155057 185026 185878 200662 236572 243661 255388 310114 370052 371756 401324 487322 620228 647591 650573 702317 974644 1017643 1085399 1295182 1301146 1404634 1572721 1705627 2035286 2170798 2590364 2602292 2809268 3145442 3411254 4070572 4341596 4533137 6290884 6822508 7123501 9066274 11009047 11939389 14247002 17299931 18132548 22018094 23878778 28494004 34599862 44036188 47757556 49864507 69199724 77063329 99729014 121099517 154126658 199458028 242199034 308253316 484398068 847696619 1695393238 3390786476